Mathematics: Can someone solve this

Can someone solve this - id5737790, jason9394

Ответ:

JayKayaim123

22.01.2022

Mathematics

A ≈ 269.81 cm²

Step-by-step explanation:

This shape is a hexagon (it has 6 sides) so let's use the formula for the area of a hexagon.

A = $\frac{3\sqrt{3} }{2} s^{2}$

Where s is the length of the sides

Substitute:

A = $\frac{3\sqrt{3} }{2} s^{2}$

A = $\frac{3\sqrt{3} }{2} 10^{2}$

Solve:

A = $\frac{3\sqrt{3} }{2} 10^{2}$

A = $\frac{3\sqrt{3} }{2} 100$

Multiply the numerator:

A = $\frac{3\sqrt{3} }{2} 100$

A ≈ $\frac{5.12 }{2} 100$

(The numerator reflects a rounded number, but the actual calculations are exact)

Divide the fraction:

A ≈ $\frac{5.12 }{2} 100$

A ≈ 2.6(100)

Multiply:

A ≈ 2.6(100)

A ≈ 269.81 cm²

Therefore, the area is approximately 269.82 cubic centimeters.

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Ответ:

desiree3114

21.02.2022

Mathematics

$\text{Volume of box of cereal}=384\text{ in}^3$

Step-by-step explanation:

We have been given that a box of cereal has a width of 4 inches, and a length of 8 inches and a height of 12 inches.

To find the volume of our give box we will use volume of cuboid formula.

$\text{Volume of cuboid}=l*w*h$ , where,

$l=\text{Length of cuboid}$ ,

$w=\text{Width of cuboid}$ ,

$h=\text{Height of cuboid}$ .

Upon substituting our given values in volume formula we will get,

$\text{Volume of box of cereal}=\text{8 in*4 in*12 in}$

$\text{Volume of box of cereal}=384\text{ in}^3$

Therefore, the volume of box of cereal is 384 cubic inches.

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